TY - JOUR
T1 - Multiplication Is An Open Bilinear Mapping in the Banach Algebra of Functions of Bounded Wiener p-Variation
AU - Shargorodsky, Eugene
AU - Canarias, Tiago
AU - Karlovich, Alexei
PY - 2021/10/14
Y1 - 2021/10/14
N2 - Let $BV_p[0,1]$, $1\le p<\infty$, be the Banach algebra of functions of
bounded $p$-variation in the sense of Wiener. Recently, Kowalczyk and Turowska
\cite{KT19} proved that the multiplication in $BV_1[0,1]$ is an open bilinear
mapping. We extend this result for all values of $p\in[1,\infty)$.
AB - Let $BV_p[0,1]$, $1\le p<\infty$, be the Banach algebra of functions of
bounded $p$-variation in the sense of Wiener. Recently, Kowalczyk and Turowska
\cite{KT19} proved that the multiplication in $BV_1[0,1]$ is an open bilinear
mapping. We extend this result for all values of $p\in[1,\infty)$.
M3 - Article
SN - 0147-1937
VL - 46
SP - 121
EP - 148
JO - Real Analysis Exchange
JF - Real Analysis Exchange
IS - 1
ER -